The restrooms
on the 7th floor of Wean hall have just been renovated. Unfortunately, the
contractors omitted to label the doors with Men/Women. A visitor to the
Mathematical Sciences Department arrives outside the rest-rooms and does
not wish to go in the wrong door. Standing outside the door are the famous
Crane triplets: Ampule, Botule and Corpule. These guys are identical. Their
own mother cannot tell them apart. It is well-known in the academic world
that Ampule is a good person and always tells the truth, Botule is a mean
person and always lies. Corpule is confused and half the time he tells the
truth and the other half of the time, he lies. Our visitor knows that he
is allowed two questions. What should they be? (Note that a question will
be directed to one triplet who will answer it in his own way.)